Derivative

(the database of solved problems)

All the problems and solutions shown below were generated using the Derivative Calculator.

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ID	Problem	Count
1551	$ {\left(\dfrac{\ln\left(x\right)}{{x}^{4}}\right)}^{8} $	2
1552	$ {\left(8t-{t}^{2}\right)}^{\frac{2}{3}} $	2
1553	$ \cos\left(2\right){\cdot}{x}^{5}{\cdot}\left(4{x}^{2}+3\right) $	2
1554	$ \left(x-y\right){\cdot}{\mathrm{e}}^{-x}-y $	2
1555	$ \left(x-y\right){\cdot}{\mathrm{e}}^{-x-y} $	2
1556	$ \left(a-x\right){\cdot}{\mathrm{e}}^{-x-a} $	2
1557	$ 2{\mathrm{e}}^{x}{\cdot}{x}^{2} $	2
1558	$ {\mathrm{e}}^{\frac{-2}{x}} $	2
1559	$ {x}^{{x}} $	2
1560	$ 6{\cdot}\sqrt{x}+8{x}^{\frac{1}{4}} $	2
1561	$ \dfrac{16}{xyz} $	2
1562	$ {\left(2x-3\right)}^{1.25} $	2
1563	$ \dfrac{{\mathrm{e}}^{x}}{{\mathrm{e}}^{x}+8} $	2
1564	$ 50{\cdot}\ln\left(40\right) $	2
1565	$ \ln\left(\sec\left(x\right)+\tan\left(x\right)\right) $	2
1566	$ {\left({\mathrm{e}}^{3x}-2\right)}^{\frac{1}{2}} $	2
1567	$ 3{\cdot}{\left({x}^{2}-3x\right)}^{2}{\cdot}\left(2x-3\right) $	2
1568	$ 0.11215{x}^{2}-(\dfrac{4.47895x}{0.58876+0.21542{x}^{2}}) $	2
1569	$ \dfrac{-2{x}^{2}+x+18}{9-{x}^{2}} $	2
1570	$ {{\pi}}^{-1}{\cdot}{\mathrm{e}}^{2x}{\cdot}49{x}^{2}{\cdot}{\left(\ln\left(5\right)\right)}^{2}{\cdot}25{x}^{6} $	2
1571	$ \dfrac{-2{x}^{2}+x+18}{9-{x}^{2}} $	2
1572	$ {\mathrm{e}}^{x}-\dfrac{1}{x} $	2
1573	$ \, x \, $	2
1574	$ \dfrac{4x}{2x+1} $	2
1575	$ \tan\left(\dfrac{1}{x}\right) $	2
1576	$ 4{\cdot}{2}^{3x}+7 $	2
1577	$ \, x \, $	2
1578	$ \dfrac{x+1}{x-1} $	2
1579	$ \dfrac{2{x}^{2}+1}{{x}^{2}+2} $	2
1580	$ {\mathrm{e}}^{\frac{-x}{2}} $	2
1581	$ {x}^{\frac{1}{3}}+\dfrac{1}{{x}^{6}} $	2
1582	$ \, x \, $	2
1583	$ 10000{\cdot}{1.5}^{-x} $	2
1584	$ \, x \, $	2
1585	$ 4.9{x}^{2} $	2
1586	$ \dfrac{{\left(3-x\right)}^{2}}{3}{\cdot}\sqrt{x} $	2
1587	$ 50{\cdot}\tan\left(x\right) $	2
1588	$ \dfrac{5{x}^{2}-9x+8}{{x}^{2}+1} $	2
1589	$ \, x \, $	2
1590	$ \dfrac{42{x}^{2}+56x}{{\left(2x+5\right)}^{3}} $	2
1591	$ \dfrac{\ln\left({\mathrm{e}}^{x}{\cdot}{x}^{2}\right)}{{\left(\sin\left(x\right)\right)}^{5}} $	2
1592	$ \dfrac{1}{{\mathrm{e}}^{2-5x}} $	2
1593	$ \dfrac{1-\sqrt{x}}{2}-2x $	2
1594	$ \dfrac{1-\sqrt{x}}{2-2x} $	2
1595	$ \dfrac{\left({x}^{2}+7\right){\cdot}\left({x}^{3}+6\right)}{{x}^{2}}+1 $	2
1596	$ \dfrac{\left({x}^{2}+7\right){\cdot}\left({x}^{3}+6\right)}{{x}^{2}+1} $	2
1597	$ \dfrac{8{a}^{3}}{\dfrac{2}{a}{\cdot}{\left({x}^{2}-\dfrac{60}{50}\right)}^{2}+4{a}^{2}}+0.28 $	2
1598	$ \dfrac{8{a}^{3}}{\dfrac{2}{a}{\cdot}{\left({x}^{2}-\dfrac{60}{50}\right)}^{2}+4{a}^{2}} $	2
1599	$ \dfrac{8{a}^{3}}{\dfrac{2}{a}{\cdot}{\left({x}^{2}-1.38\right)}^{2}+4{a}^{2}} $	2
1600	$ \dfrac{8{a}^{3}}{\dfrac{2}{a}{\cdot}{\left({x}^{2}-1.38\right)}^{2}+4{a}^{2}}+0.28 $	2